scholarly journals A mechanism for shape coexistence

2021 ◽  
Vol 252 ◽  
pp. 02005
Author(s):  
Andriana Martinou
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Magic Numbers ◽  
Shape Coexistence ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Different Types ◽  
Theoretical Predictions ◽  
Different Shapes ◽  
Nuclear Shell

The phenomenon of shape coexistence in a nucleus is about the occurence of two different nuclear states with drastically different shapes, lying close in energy. It is commonly seen in the data, that such coexisting states manifest in specific nuclei, which lie within certain islands on the nuclear chart, the islands of shape coexistence. A recently introduced mechanism predicts that these islands derive from the coexistence of two different types of magic numbers: the harmonic oscillator and the spin-orbit like. The algebraic realization of the nuclear Shell Model, the Elliott SU(3) symmetry, along with its extension, the proxy-SU(3) symmetry , are used for the parameter-free theoretical predictions of the islands of shape coexistence

Skyrmions, Tetrahedra and Magic Numbers

2020 ◽  
Author(s):  
Nicholas S Manton
Keyword(s):  
Shell Model ◽  
Baryon Number ◽  
Orbit Coupling ◽  
Magic Numbers ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Strong Binding ◽  
Nuclear Shell ◽  
Strong Spin

Abstract Michael Atiyah’s interest in Skyrmions and their relationship to monopoles and instantons is recalled. Some approximate models of Skyrmions with large baryon numbers are then considered. Skyrmions having particularly strong binding are clusters of unit baryon number Skyrmions arranged as truncated tetrahedra. Their baryon numbers, $B = 4 \,, 16 \,, 40 \,, 80 \,, 140 \,, 224$, are the tetrahedral numbers multiplied by four, agreeing with the magic proton and neutron numbers $2 \,, 8 \,, 20 \,, 40 \,, 70 \,, 112$ occurring in the nuclear shell model in the absence of strong spin-orbit coupling.

Spin-Orbit Splittings in Nuclear Shell Model

1962 ◽  
Vol 127 (5) ◽  
pp. 1678-1680 ◽  
Author(s):  
B. L. Cohen ◽  
P. Mukherjee ◽  
R. H. Fulmer ◽  
A. L. McCarthy
Keyword(s):  
Shell Model ◽  
Spin Orbit ◽  
Nuclear Shell Model ◽  
Nuclear Shell

THE WIDTHS OF 4f LEVELS IN ANTIPROTONIC ATOMS IN THE OXYGEN REGION USING REALISTIC NUCLEAR WAVEFUNCTIONS

1987 ◽  
Vol 02 (06) ◽  
pp. 359-366 ◽  
Author(s):  
P. HAAPAKOSKI
Keyword(s):  
Harmonic Oscillator ◽  
Asymptotic Behaviour ◽  
Shell Model ◽  
Nuclear Shell Model ◽  
Antiprotonic Atoms ◽  
Nuclear Shell

The widths of the 4f levels of the antiprotonic atoms in the oxygen region are calculated using realistic nuclear shell model wavefunctions. The results are shown to be quite sensitive to the asymptotic behaviour of these wavefunctions. However, with a sensible prescription for the wavefunctions the results do not differ significantly from the corresponding results obtained using harmonic oscillator wavefunctions—the differences improving the earlier overall agreement with experiment.

Spherical-deformed shape coexistence for thepfshell in the nuclear shell model

2001 ◽  
Vol 63 (4) ◽  
Author(s):  
Takahiro Mizusaki ◽  
Takaharu Otsuka ◽  
Michio Honma ◽  
B. Alex Brown
Keyword(s):  
Shell Model ◽  
Shape Coexistence ◽  
Nuclear Shell Model ◽  
Nuclear Shell

scholarly journals Digital Nuclear Shell Model

2014 ◽  
Vol 32 ◽  
pp. 160-173
Author(s):  
Lutvo Kurić
Keyword(s):  
Shell Model ◽  
Digital Technology ◽  
Nuclear Physics ◽  
New Technology ◽  
Magic Numbers ◽  
Nuclear Shell Model ◽  
Atomic Shell ◽  
New Methods ◽  
The Subject ◽  
Nuclear Shell

The subject of this thesis is a digital approach to the investigation of the digital basis of digitalnuclear shell model. The shell model is partly analogous to the atomic shell model which describes thearrangement of electrons in an atom, in that a filled shell results in greater stability. Whenadding nucleons to a nucleus, there are certain points where the binding energy of the next nucleon issignificantly less than the last one. Magic numbers of nucleons: 2, 8, 20, 28, 50, 82, 126 which aremore tightly bound than the next higher number, is the origin of the shell model. “In a threedimensionalharmonic oscillator the total degeneracy at level n is (n+1)(n+2)/2. Due to the spin, thedegeneracy is doubled and is (n+1)(n+2). Thus the magic numbers would be ∑kn=0(n+1)(n+2)=(k+1)(k+2)(k+3)/3 for all integer k. This gives the following magic numbers:2,8,20,40,70,112..., which agree with experiment only in the first three entries. These numbers aretwice the tetrahedral numbers (1,4,10,20,35,56...) from the Pascal Triangle”.http://en.wikipedia.org/wiki/Nuclear_shell_model. The digital mechanism of shell model have beenanalyzed by the application of cybernetic methods, information theory and system theory,respectively. This paper is to report that we discovered new methods for development of the newtechnologies in nuclear physics and chemistry. It is about the most advanced digital technology whichis based on program, cybernetics and informational systems and laws. The results in practicalapplication of the new technology could be useful in physics, chemistry, bioinformatics, and othernatural sciences.

scholarly journals Evidence of Magic Numbers in Nuclei by Statistical Indicators

2010 ◽  
Vol 17 (03) ◽  
pp. 279-286 ◽  
Author(s):  
Ricardo López-Ruiz ◽  
Jaime Sañudo
Keyword(s):  
Qualitative Study ◽  
Shell Model ◽  
Shell Structure ◽  
Shannon Information ◽  
Magic Numbers ◽  
Nuclear Shell Model ◽  
Statistical Measure ◽  
Statistical Complexity ◽  
Nuclear Shell ◽  
Statistical Indicators

The calculation of a statistical measure of complexity and the Fisher-Shannon information in nuclei is carried out in this work. We use the nuclear shell model in order to obtain the fractional occupation probabilities of nuclear orbitals. The increasing of both magnitudes, the statistical complexity and the Fisher-Shannon information, with the number of nucleons is observed. The shell structure is reflected by the behaviour of the statistical complexity. The magic numbers are clearly revealed by the Fisher-Shannon information. Then, this work provides a new way of finding the magic numbers by a qualitative study through statistical indicators.

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